Self-similar fractals and common hypercyclicity
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866914770799558656 |
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| author | Costa Jr, Fernando |
| author_facet | Costa Jr, Fernando |
| contents | We obtain a multi-dimensional generalization of the Costakis-Sambarino criterion for common hypercyclic vectors with optimal consequences on a large class of fractals. Applications include families of products of backward shifts parameterized by any Hölder continuous curve in $\mathbb R^d$, for all $d\geq 1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_16026 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Self-similar fractals and common hypercyclicity Costa Jr, Fernando Functional Analysis 47A16(47B37), 28A80, 28A78 We obtain a multi-dimensional generalization of the Costakis-Sambarino criterion for common hypercyclic vectors with optimal consequences on a large class of fractals. Applications include families of products of backward shifts parameterized by any Hölder continuous curve in $\mathbb R^d$, for all $d\geq 1$. |
| title | Self-similar fractals and common hypercyclicity |
| topic | Functional Analysis 47A16(47B37), 28A80, 28A78 |
| url | https://arxiv.org/abs/2306.16026 |